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Finding the Third Proportional to 443.25 and 620.25

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Solution

The third proportional to 443.25 and 620.25 is: 867.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.25 : 620.25 = 620.25 : x
  2. Step 2: Convert to fraction form
    443.25/620.25 = 620.25/x
  3. Step 3: Cross multiply
    443.25x = 620.25 × 620.25
  4. Step 4: Simplify right side
    443.25x = 384,710.06
  5. Step 5: Solve for x
    x = 384,710.06/443.25
  6. Step 6: Final answer
    x = 867.93

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.